Highest Common Factor of 567, 913, 315 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 567, 913, 315 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 913, 315 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 567, 913, 315 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 567, 913, 315 is 1.
HCF(567, 913, 315) = 1
HCF of 567, 913, 315 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 913, 315 is 1.
Highest Common Factor of 567,913,315 is 1
Step 1: Since 913 > 567, we apply the division lemma to 913 and 567, to get
913 = 567 x 1 + 346
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 346 and 567, to get
567 = 346 x 1 + 221
Step 3: We consider the new divisor 346 and the new remainder 221, and apply the division lemma to get
346 = 221 x 1 + 125
We consider the new divisor 221 and the new remainder 125,and apply the division lemma to get
221 = 125 x 1 + 96
We consider the new divisor 125 and the new remainder 96,and apply the division lemma to get
125 = 96 x 1 + 29
We consider the new divisor 96 and the new remainder 29,and apply the division lemma to get
96 = 29 x 3 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 567 and 913 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(96,29) = HCF(125,96) = HCF(221,125) = HCF(346,221) = HCF(567,346) = HCF(913,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 315 > 1, we apply the division lemma to 315 and 1, to get
315 = 1 x 315 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 315 is 1
Notice that 1 = HCF(315,1) .
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Frequently Asked Questions on HCF of 567, 913, 315 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 567, 913, 315?
Answer: HCF of 567, 913, 315 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 913, 315 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 913, 315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
